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Finding the Third Proportional to 24,332 and 37,572

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Solution

The third proportional to 24,332 and 37,572 is: 58,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 37,572 = 37,572 : x
  2. Step 2: Convert to fraction form
    24,332/37,572 = 37,572/x
  3. Step 3: Cross multiply
    24,332x = 37,572 × 37,572
  4. Step 4: Simplify right side
    24,332x = 1,411,655,184
  5. Step 5: Solve for x
    x = 1,411,655,184/24,332
  6. Step 6: Final answer
    x = 58,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.